Griffiths QM Problem 2.37 (3rd edition): Find expectation values for nth stationary state of QHO

Описание: In this video I will solve problem 2.37 as it appears in the third edition of Griffiths Introduction to Quantum Mechanics. The problem asks us to find find expectation values of x, x**2 (x^2), p, p**2 (p^2), T and V for the nth stationary state of the Quantum Harmonic Oscillator and then verify the Heisenberg Uncertainty Principle.


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My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Introducing the problem
02:50 Finding expression for p
03:37 Finding expression for x
05:00 finding expectation value of position x
08:26 Finding Expectation value of momentum p
09:22 Finding the expectation value of x**2 (x squared)
18:05 Finding expectation value of momentum squared p**2
20:35 Finding expectation value of Kinetic Energy T
21:07 Finding expectation value of the Potential V
22:50 Verifying the Uncertainty Principle
26:25 Thank you and check out my patreon!